Quantum Simulation of a 2D Quasicrystal with Cold Atoms

We describe a way to obtain a two-dimensional quasiperiodic tiling with eight-fold symmetry using cold atoms. One can obtain a series of such optical tilings, related by scale transformations, for a series of specific values of the chemical potential of the atoms. A theoretical model for the optical...

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Bibliographic Details
Main Authors: Nicolas Macé, Anuradha Jagannathan, Michel Duneau
Format: Article
Language:English
Published: MDPI AG 2016-09-01
Series:Crystals
Subjects:
Online Access:http://www.mdpi.com/2073-4352/6/10/124
Description
Summary:We describe a way to obtain a two-dimensional quasiperiodic tiling with eight-fold symmetry using cold atoms. One can obtain a series of such optical tilings, related by scale transformations, for a series of specific values of the chemical potential of the atoms. A theoretical model for the optical system is described and compared with that of the well-known cut-and-project method for the Ammann–Beenker tiling. The relation between the two tilings is discussed. This type of cold atom structure should allow the simulation of several important lattice models for interacting quantum particles and spins in quasicrystals.
ISSN:2073-4352